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The time-dependent Ginzburg-Landau approach is used to calculate the complexfluctuation conductivity in layered type-II superconductor under magneticfield. Layered structure of the superconductor is accounted for by means of theLawrence-Doniach model, while the nonlinear interaction term in dynamics istreated within self-consistent Gaussian approximation. In high-$T_{c}$materials, large portion of the $H-T$ diagram belongs to vortex liquid phase.The expressions summing contributions of all the Landau levels are presented inexplicit form which are applicable essentially to the whole phase and arecompared to experimental data on high-$T_{c}$ superconductorYBa$_{2}$Cu$_{3}$O$_{7-\delta }$. Above the crossover to the "normal phase",our results agree with the previously obtained.

Complex conductivity in strongly fluctuating layered superconductors